A quasi-affine homogeneous space under a (complex) reductive group is called a model homogeneous space, if its algebra of regular functions contains every irreducible representation exactly once. For every connected semi-simple group, we introduce a wonderful variety whose orbits are in natural correspondence with the (isomorphisme classes of) model homogeneous spaces. (c) 2007 Elsevier Inc. Tons droits reserves.
机构:
Univ Grenoble 1, CNRS, Dept Math, UMR 5582, F-38402 St Martin Dheres, FranceUniv Grenoble 1, CNRS, Dept Math, UMR 5582, F-38402 St Martin Dheres, France
机构:
Natl Museum Nat Hist, Dept Paleobiol, Washington, DC 20013 USA
Santa Fe Inst, Santa Fe, NM 87501 USANatl Museum Nat Hist, Dept Paleobiol, Washington, DC 20013 USA